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Finding the Fourth Proportional to 57.15, 78.86 and 36.40

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Solution

The fourth proportional to 57.15, 78.86 and 36.40 is: 50.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.15 : 78.86 = 36.40 : x
  2. Step 2: Convert to fraction form
    57.15/78.86 = 36.40/x
  3. Step 3: Cross multiply
    57.15x = 78.86 × 36.40
  4. Step 4: Simplify right side
    57.15x = 2,870.50
  5. Step 5: Solve for x
    x = 2,870.50/57.15
  6. Step 6: Final answer
    x = 50.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.